Invariants of real low dimension Lie algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1976 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 17, pages 986-994 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Patera, J.; Sharp, R. T.; Winternitz, P.; Zassenhaus, Hans;

doi: 10.1063/1.522992

Invariants of real low dimension Lie algebras

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Abstract

All invariant functions of the group generators (generalized Casimir operators) are found for all real algebras of dimension up to five and for all real nilpotent algebras of dimension six.

Related Organizations

The Ohio State University
United States
University of Montreal
Canada

Keywords

Solvable, nilpotent (super)algebras, Applications of Lie groups to the sciences; explicit representations, Structure theory for Lie algebras and superalgebras

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